A curve C is defined by the parametric equations
�
(
�
)
=
sin
⁡
(
8
�
)
x(t)=sin(8t) and
�
(
�
)
=
−
8
cos
⁡
(
−
5
�
)
y(t)=−8cos(−5t). Write the equation of the line tangent to C when
�
=
4
�
3
t=
3
4π
​
.

Answer:

Step-by-step explanation: Step 1: Write down the percent divided by 100 like this: 26.5% = 26.5 / 100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point: ...

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them.

Answer: you have to put -1 1/2 in the first line second one you have to put 1 4/6 in the fourth line of one

Step-by-step explanation  if you have 1 4/6 where you see one that goes to 2 you have to count 4 lines and that will be your answer for -1 1/2 first because if you see 1/2  it means that you have to put it on the first one because 1/2 and there are only two numbers and 1/2 so just put it on the first line

inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2  is a solution to the system of inequalities .

What does co ordinate math entail?

An exact position of a point in the coordinate plane can be demonstrated using a collection of values called coordinates. Definition of a coordinate plane.

                        An intersection of two perpendicular lines known as the x-axis and y-axis results in a 2D plane known as a coordinate plane.

The points which represents a the solution are: A, C, D and K

See the attached figure.

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)

The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

If the given inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2

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Answer:

A. -63 is not a solution, B. 72 is a solution, C. 0 is a solution, D. 18 is not a solution.

Step-by-step explanation:

Answer:

Okay, so you want to find 7% of 619,900, and then add that to it.

7% of 619,900 is 43,393.

Now you just add that 6% to the total amount that is was worth.

619,900 + 43, 393 = 663293

The house is worth $663,293.00

Step-by-step explanation:

Hope it helps! =D

Answer:

f '(x) =6x² +2x-8+5by

Step-by-step explanation:

The required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tax where x in degrees.

m = (y₂ - y₁) /  (x₂ - x₁)

The graph of lines A  has the slope of -2/3 and 2 as,

m = (y₂ - y₁) /  (x₂ - x₁)

Put points (0, 2) and (3, 0) in the above expression
m = 0-2/3-0
m = -2/3

And at x = 0 there y = 2

Thus, the required graph A has a slope of negative two-thirds and a y-intercept of 2. Option A is correct.

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The probability of a random patient being alcoholic with elevated cholesterol levels is 55/80, or 0.6875. The probability of a random patient being nonalcoholic is 320/400, or 0.8. Lastly, the probability of a random patient being nonalcoholic with Non elevated cholesterol levels is 248/400, or 0.62.

To calculate the probability of a random patient being alcoholic with elevated cholesterol levels, we must first determine the total number of patients with elevated cholesterol levels. This can be done by adding the number of alcoholic patients (55) with elevated cholesterol levels to the number of nonalcoholic patients (72) with elevated cholesterol levels.

The result is a total of 127 patients with elevated cholesterol levels. This means that out of 400 patients, 55 of them were alcoholic and had elevated cholesterol levels. Therefore, the probability of a random patient being alcoholic with elevated cholesterol levels is 55/400, or 0.6875.

The probability of a random patient being nonalcoholic is equal to the total number of nonalcoholic patients (320) divided by the total number of patients (400). This yields a probability of 0.8.

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The total amount to be paid back would be $35,731.73.

The amount is 100 words. Plagiarism is not allowed, so the answer must be original and unique.The amount is unspecified and cannot be determined without further information.

This can be calculated using the formula for compound interest:

A = P(1 + r/n)^nt,

where A is the total amount to be paid back, P is the principal amount (31,000), r is the annual interest rate (3%), n is the number of times the interest is compounded per year (annually in this case), and t is the number of years (11).

Plugging this into the formula, we get:

A = 31000 (1 + 0.03/1)^11

A = 31000 (1.03^11)

A = 31000 (1.357364)

A = $35,731.73

Therefore, the total amount to be paid back would be $35,731.73.

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To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.

Find value of each variable ?

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For the given figure, the value of different angles, x = 122° and w = 90°.

An angle is a shape in planar geometry made up of two rays or lines that have a common termination. The Latin word "angulus," which meaning "corner," is where the English term "angle" originates. The shared termini of two rays are the vertex and the two rays, which are referred to as the sides of an angle, respectively. When two rays meet at a point, they create an angle. The "angle," which is the term used to describe the "opening" between these two rays, is represented by the symbol. Angles are typically expressed as 60°, 90°, etc. and are measured in degrees.

For the given figure,

The value of angle w is 90°.

The value of angle x = 180 - 58 = 122°

The value of 2w - 25 will be = 2 × 90 - 25 = 155°

The value of x + 6 will be = 122 + 6 = 128

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As per the quadratic equation, the value of k is 48 ± 8√26.

The term called quadratic equation is known as the polynomial equation whose highest degree is two

Here we know that the value of the quadratic equation is written as,

=> (k - 4)x² - 3kx - 4(k -2) = 0.

Here we have identified that the given equation is in the form of ax² + bx + c = 0.

Then the value of a = k - 4, b = -3k and c = 4(k-2)

Now, we have to use the quadratic formula to identify the value of k, then it can be written as.

=> (-3k)² - (4 x (k - 4) x 4(k-2))

=> 9k² - ((4k - 16) x (4k - 8))

=> 9k² - (16k² - 32k - 64k + 128)

=> 9k² - 16k² +96k -128 = 0

=> -5k² + 96k - 128 = 0

When we factorize the expression then we get the value of k as,

=> k = 48 ± 8√26.

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The distance from the center point to a corner flag is approximately 6.4 cm on the plan

The length and width of the rectangular field, on a scale of 1 cm to 10 m, can be represented as 104 m / 10 = 10.4 cm and 76 m / 10 = 7.6 cm, respectively. The half of the length is 5.2 cm and the half of the width is 3.8 cm.

To find the distance from the center point to a corner flag, we need to use the Pythagorean theorem. The distance is the square root of the sum of the squares of half the length and half the width:

√(5.2^2 + 3.8^2) = √(27.04 + 14.44) = √41.48

So the distance from the center point to a corner flag is approximately 6.4 cm on the plan.

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y=-1/4x-2 is the  equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8, −4).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of perpendicular line will be -1/m

In the equation  y = 4x + 6  the slope m is 4

The slope of perpendicular line will be -1/4

Now let us find the y intercept

-4=-1/4(8)+b

-4=-2+b

-2=b

y=-1/4x-2 is the equation of perpendicular line.

Hence, y=-1/4x-2 is the  equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8, −4).

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The solution to the equation can be given as;

x = 6

y = 32

We have to note that when we solve a problem, the values that we get at the end of the solution of the problem is (x,y). We can see that as we obtain the solutions, we would have to get the values of x and y.

In this case, we have been told that the solution to the problem have been given as (6,32). These are the points that yield the solution to the problem. As such we have;

x = 6

y = 32

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1. The surface area of a triangular pyramid is (P * h) / 2.

So, (12 * 2) / 2 = 12 sq ft

2. The surface area of a square pyramid is B * P / 2.

So, 4 * 16 / 2 = 32 sq in

3. The surface area of a square pyramid is B * P / 2.

So, 12 * 48 / 2 = 288 sq m

4. The surface area of a triangular pyramid is (P * h) / 2.

So, (45 * 12) / 2 = 270 sq yds

5. The surface area of a square pyramid is B * P / 2.

So, 6 * 24 / 2 = 72 sq ft

6. The surface area of a triangular pyramid is (P * h) / 2.

So, (15 * 4) / 2 = 30 sq ft

7. The surface area of a square pyramid is B * P / 2.

So, 4 * 16 / 2 = 32 sq in

8. The surface area of a square pyramid is B * P / 2.

So, 10 * 40 / 2 = 200 sq m

9. The surface area of a triangular pyramid is (P * h) / 2.

So, (45 * 8) / 2 = 180 sq yds

10. The surface area of a square pyramid is B * P / 2.

So, 16 * 64 / 2 = 512 sq ft

11. The surface area of a square pyramid is B * P / 2.

So, 5 * 20 / 2 = 50 sq ft

12. The surface area of a triangular pyramid is (P * h) / 2.

So, (45 * 8) / 2 = 180 sq ft

13. The surface area of a square pyramid is B * P / 2.

So, 13 * 52 / 2 = 338 sq in

14. The surface area of a square pyramid is B * P / 2.

So, 7 * 28 / 2 = 98 sq m

15. The surface area of a triangular pyramid is (P * h) / 2.

So, (27 * 25) / 2 = 675 sq yds

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The complete question goes thus:

Calculate The Surface Area Of Each Pyramid With The Following Values. (P = Perimeter, B = One Side Of The Base, S=Side, H=Height). Number Of Sides Is Given In Each Problem. The First Two Have Hints To Let You Know What The Shape Of The Base Is...

1. P = 12 ft, s = 4 ft, b = 4 ft, h=2 ft, 3

sides (base is a triangle)

2. b = 4 in, P = 16 in, s = 12, 4 sides

(base is a square)

3. P = 48 m, b = 12 m, s=12, 4 sides

4. P = 45 yds, b = 15 yds, s=15, h=12,

3 sides

5. b = 6 ft, P = 24 ft, s=6, 4 sides

6. P = 15 ft, b = 5 ft, s=5 ft, h= 4, 3

sides

7. b = 4 in, P = 16 in, s-11, 4 sides

8. P = 40 m, b = 10 m, s-10, 4 sides

9. P = 45 yds, b = 15 yds, s=10, h=8,

3 sides

10. b = 16 ft, P = 64 ft, s=8, 4 sides

11. b = 5 ft, P = 20 ft, s=7, 4 sides

12. P = 45 ft, b = 15 ft, s=10, h=8, 3

sides

13. b 13 in, P = 52 in, s=11, 4 sides

=

14. P = 28 m, b = 7 m, s=8, 4 sides

15. P = 27 yds, b = 9 yds, s=30, h=25,

3 act

Answer:

4

Step-by-step explanation:

Answer:

10,4 ft

Step-by-step explanation:

c^2 = a^2 + b^2

c=12       a= 6

b^2= 144 - 36

     = 108

b = 10,4

The polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros is a³ - 5a³ - 4(5 - √8)a.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

For the given factors, write the factors in the coefficient form, following form:

a, (a - 5), (a + 5 - √8)

Multiply all the factors:

(a)(a - 5) = a² - 5a

(a² - 5a) (a + 5 - √8) = a³ + (5 - √8)a - 5a² - 5(5 - √8)a

Combine the like terms:

a³ - 5a³ - 4(5 - √8)a

Hence, the polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros is a³ - 5a³ - 4(5 - √8)a.

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Answer:

Step 1: Divide both sides by 2

Step 2: Subtract both sides by 3

Step-by-step explanation:

Step 1: 2(x + 3) = 14

Step 2: x + 3 = 7

x = 4

The mean of the uncertainty distribution is 3.7

The probability distribution of a random event describes the likelihood of each possible outcome of that event.

In the case of the modified die at Pharaoh's Palace, the management has changed the standard probability distribution so that the probability of each side is proportional to the number of spots on the side.

The possible outcomes are 1, 2, 3, 4, 5, and 6, and their probabilities can be calculated by summing up the probabilities of each side and ensuring that they add up to 1.

The mean of the uncertainty distribution is calculated by taking the sum of each possible outcome multiplied by its probability and dividing by the number of possible outcomes.

In this case, the mean is approximately 3.7.

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The vertical change of the line is 1 unit and the horizontal change is 1 unit, thus the slope of the line is 1.

The general equation of a line is given below as follows:

y = ax + b

where;

The slope of the line is determined as follows:

Slope = y₂ - y₁/ x₂- x₁

y₂ = 2

y₁ = 0

x₂ = 0

x₁ = -2

Slope = (2 - 0) / (0 -{-2})

Slope = 2/2

Slope = 1

The equation of the line will be:

y = x + 2

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At a price of $44, 30 units of good x are exchanged. This can be calculated by subtracting the quantity supplied at price $15 (q0=10) and the quantity supplied at price $31 (q*=30) from the quantity demanded at price $44 (q1=50).

At a price of $44, the quantity of good x that is exchanged can be calculated by subtracting the quantity supplied at price $15 (q0=10) and the quantity supplied at price $31 (q*=30) from the quantity demanded at price $44 (q1=50). The quantity supplied at price $15 is 10 units, the quantity supplied at price $31 is 30 units, and the quantity demanded at price $44 is 50 units. Therefore, the quantity exchanged at price $44 is 50 units minus 10 units (q0) minus 30 units (q*) which equals 10 units. Thus, the quantity of good x exchanged at price $44 is 10 units.

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The equation of the secant line containing the points (-7,g(-7)) and (8,g(8)) is y = (123/15)x + (98 - (123/15) * (-7)).

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. To find the equation of the secant line, we need to find the slope (m) and the point of intersection (x,y) of the line with the y-axis.

To find the slope (m) of the secant line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1,y1) = (-7, g(-7)) and (x2,y2) = (8, g(8)).

So, m = (g(8) - g(-7)) / (8 - (-7)) = (g(8) - g(-7)) / 15

Now, we can substitute the value of g(x) in the above equation and get the value of m

g(x) = 2x^2-7

m = (2(8^2)-7 - 2(-7^2)-7) / 15 = (2(64)-7 - 2(49)-7) / 15 = (128-7-98-7) / 15 = 123/15.

To find the point of intersection (x,y) of the line with the y-axis, we can use one of the given points and the slope. Let's use the point (-7,g(-7))

y = mx + b

g(-7) = m * (-7) + b

b = g(-7) - m * (-7)

We can substitute the value of g(x), m and x = -7 in the above equation and get the value of b.

g(x) = 2x^2-7

b = 2(-7)^2-7 - m * (-7) = 2(49)-7 - 123/15 * (-7) = 98 - 123/15 * (-7)

So, the equation of the secant line containing the points (-7,g(-7)) and (8,g(8)) is y = (123/15)x + (98 - (123/15) * (-7))

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The change in the density rho of a substance when the temperature changes by δt is dρ = -β × δt × ρ.

The change in density, dρ, of a substance when the temperature changes by delta_t (δt) can be calculated using the coefficient of thermal expansion, beta (β):

dρ = -β × δt × ρ

Where rho is the original density of the substance. If beta * delta_t is much less than 1 (beta * delta_t << 1), then the change in density can be considered to be small, and the original density can be used in the calculation.

Therefore, the change in density rho is -β × δt × ρ.

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Answer:

Below

Step-by-step explanation:

You are counting the number of SUBSETS

Example  set  {2,7}

  has subsets { }   {2}  {7}  {2,7}

The number of subsets given a set of 'n'  is   2^n

When you calculate the number of combinations of "r" objects taken from a group of "n" objects, you are counting the number of different ways you can choose "r" items from the "n" items without regard to their order (i.e. their arrangement does not matter).

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. For example, if you have a group of 6 books and you want to know how many different combinations of 3 books you can choose, you would use the formula: C(6,3) = 6!/(3! * (6-3)!). The answer would be 20, meaning there are 20 different combinations of 3 books you can choose from the group of 6.

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Based on the histogram above, we will use median to describe this variable.

Hence, option (b) is correct choice.

A histogram is a graphical depiction of data distribution in statistics. The histogram is represented by a series of neighbouring rectangles, with each bar representing a different type of data. Statistics is a branch of mathematics that is used in a variety of areas.

The frequency distribution is represented graphically by a histogram.

The histogram may be analysed as a representation of frequencies and classes as linked rectangles.

Option B is the correct answer to this question.

Because the median is unaffected by big observations, we use it as a measure of central tendency while analysing the left skewed distribution.

The required image/ histogram is attached below:

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